A die is thrown, find the probability of following events: A number more than $6$ will appear,
The sample space of the given experiment is given by
$S=\{1,2,3,4,5,6\}$
Let $D$ be the event of the occurrence of a number greater than $6.$
Accordingly, $D=\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\frown}$}}{I}$
$\therefore P(D)=\frac{\text { Number of outcomes favourable to } D}{\text { Total number of possible outcomes }}=\frac{n(D)}{n(S)}=\frac{0}{6}=0$
In a throw of a dice the probability of getting one in even number of throw is
Describe the sample space for the indicated experiment: A coin is tossed and then a die is rolled only in case a head is shown on the coin.
Two integers $\mathrm{x}$ and $\mathrm{y}$ are chosen with replacement from the set $\{0,1,2,3, \ldots ., 10\}$. Then the probability that $|x-y|>5$ is:
A set $S$ contains $7$ elements. A non-empty subset $A$ of $S$ and an element $x$ of $S$ are chosen at random. Then the probability that $x \in A$ is
Three coins are tossed once. Find the probability of getting no tails.